Finding the Third Proportional to 111,766 and 239,510

Step by Step Solution

1. Step 1: Write the proportion equation
   111,766 : 239,510 = 239,510 : x
2. Step 2: Convert to fraction form
   111,766/239,510 = 239,510/x
3. Step 3: Cross multiply
   111,766x = 239,510 × 239,510
4. Step 4: Simplify right side
   111,766x = 57,365,040,100
5. Step 5: Solve for x
   x = 57,365,040,100/111,766
6. Step 6: Final answer
   x = 513,260.21